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Submission #229878

# Submission time Handle Problem Language Result Execution time Memory
229878 2020-05-06T22:54:59 Z DavidDamian Race (IOI11_race) C++11
100 / 100
 495 ms 89848 KB 
#include "race.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
///Sack
///Determine the minimum length of a path that has sum k
struct edge
{
    int to;
    ll w;
};
vector<edge> adjList[200005];
int Size[200005];
int getSize(int u,int p)
{
    Size[u]=1;
    for(edge e: adjList[u]){
        int v=e.to;
        if(v==p) continue;
        Size[u]+=getSize(v,u);
    }
    return Size[u];
}
ll k;
ll minimum=INT_MAX;
map<ll,int>* sack[200005]; //<distance from the root, depth>
typedef pair<ll,int> pii;
void dfs(int u,int p,ll distRoot,int depth)
{
    int greatest=0,bigChild=-1;
    for(edge e: adjList[u]){
        int v=e.to;
        if(v==p) continue;
        dfs(v,u,distRoot+e.w,depth+1);
        if(Size[v]>greatest){
            greatest=Size[v];
            bigChild=v;
        }
    }
    if(bigChild==-1)
        sack[u]=new map<ll,int>;
    else
        sack[u]=sack[bigChild];
    for(edge e: adjList[u]){
        int v=e.to;
        if(v==p) continue;
        if(v==bigChild) continue;
        for(pii x: *sack[v]){ //Combine two lines in that subtree
            ll dist=x.first-distRoot;
            ll complement=k-dist+distRoot;
            if(complement>=0 && (*sack[u]).find(complement)!=(*sack[u]).end()){
                ll length=(*sack[u])[complement]+x.second;
                length-=(ll)2*depth;
                minimum=min(minimum,length);
            }
        }
        for(pii x: *sack[v]){ //Copy information from child
            if((*sack[u])[x.first]==0) (*sack[u])[x.first]=x.second;
            else{
                int length=(*sack[u])[x.first];
                (*sack[u])[x.first]=min(length,x.second);
            }
        }
    }
    if((*sack[u]).find(k+distRoot)!=(*sack[u]).end()){ //Check if a line has sum k
        ll length=(*sack[u])[k+distRoot];
        length-=depth;
        minimum=min(minimum,length);
    }
    if((*sack[u])[distRoot]==0) (*sack[u])[distRoot]=depth; //Add line from root to u to the sack
    else{
        int length=(*sack[u])[distRoot];
        (*sack[u])[distRoot]=min(length,depth);
    }
}
int best_path(int n, int K, int H[][2], int L[])
{
    k=K;
    for(int i=0;i<n-1;i++){
        int a=H[i][0]+1;
        int b=H[i][1]+1;
        ll w=L[i];
        adjList[a].push_back({b,w});
        adjList[b].push_back({a,w});
    }
    getSize(1,0);
    dfs(1,0,0,0);
    return (minimum!=INT_MAX)? minimum : -1;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 5120 KB Output is correct
13 Correct 8 ms 5120 KB Output is correct
14 Correct 7 ms 5120 KB Output is correct
15 Correct 7 ms 5120 KB Output is correct
16 Correct 8 ms 4992 KB Output is correct
17 Correct 7 ms 5120 KB Output is correct
18 Correct 7 ms 5120 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 5120 KB Output is correct
13 Correct 8 ms 5120 KB Output is correct
14 Correct 7 ms 5120 KB Output is correct
15 Correct 7 ms 5120 KB Output is correct
16 Correct 8 ms 4992 KB Output is correct
17 Correct 7 ms 5120 KB Output is correct
18 Correct 7 ms 5120 KB Output is correct
19 Correct 7 ms 4992 KB Output is correct
20 Correct 7 ms 5120 KB Output is correct
21 Correct 8 ms 5376 KB Output is correct
22 Correct 8 ms 5376 KB Output is correct
23 Correct 8 ms 5376 KB Output is correct
24 Correct 8 ms 5376 KB Output is correct
25 Correct 8 ms 5376 KB Output is correct
26 Correct 8 ms 5376 KB Output is correct
27 Correct 8 ms 5248 KB Output is correct
28 Correct 8 ms 5376 KB Output is correct
29 Correct 8 ms 5376 KB Output is correct
30 Correct 9 ms 5376 KB Output is correct
31 Correct 8 ms 5376 KB Output is correct
32 Correct 8 ms 5376 KB Output is correct
33 Correct 8 ms 5376 KB Output is correct
34 Correct 8 ms 5248 KB Output is correct
35 Correct 8 ms 5248 KB Output is correct
36 Correct 8 ms 5248 KB Output is correct
37 Correct 8 ms 5248 KB Output is correct
38 Correct 8 ms 5248 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 5120 KB Output is correct
13 Correct 8 ms 5120 KB Output is correct
14 Correct 7 ms 5120 KB Output is correct
15 Correct 7 ms 5120 KB Output is correct
16 Correct 8 ms 4992 KB Output is correct
17 Correct 7 ms 5120 KB Output is correct
18 Correct 7 ms 5120 KB Output is correct
19 Correct 144 ms 26360 KB Output is correct
20 Correct 132 ms 26464 KB Output is correct
21 Correct 127 ms 26488 KB Output is correct
22 Correct 150 ms 27000 KB Output is correct
23 Correct 165 ms 40696 KB Output is correct
24 Correct 134 ms 34996 KB Output is correct
25 Correct 104 ms 22776 KB Output is correct
26 Correct 68 ms 31096 KB Output is correct
27 Correct 224 ms 39800 KB Output is correct
28 Correct 296 ms 69368 KB Output is correct
29 Correct 299 ms 67576 KB Output is correct
30 Correct 231 ms 39816 KB Output is correct
31 Correct 250 ms 39724 KB Output is correct
32 Correct 270 ms 39872 KB Output is correct
33 Correct 235 ms 32376 KB Output is correct
34 Correct 352 ms 64376 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5120 KB Output is correct
2 Correct 7 ms 5120 KB Output is correct
3 Correct 7 ms 5120 KB Output is correct
4 Correct 7 ms 5120 KB Output is correct
5 Correct 8 ms 5120 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 7 ms 5120 KB Output is correct
10 Correct 7 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 5120 KB Output is correct
13 Correct 8 ms 5120 KB Output is correct
14 Correct 7 ms 5120 KB Output is correct
15 Correct 7 ms 5120 KB Output is correct
16 Correct 8 ms 4992 KB Output is correct
17 Correct 7 ms 5120 KB Output is correct
18 Correct 7 ms 5120 KB Output is correct
19 Correct 7 ms 4992 KB Output is correct
20 Correct 7 ms 5120 KB Output is correct
21 Correct 8 ms 5376 KB Output is correct
22 Correct 8 ms 5376 KB Output is correct
23 Correct 8 ms 5376 KB Output is correct
24 Correct 8 ms 5376 KB Output is correct
25 Correct 8 ms 5376 KB Output is correct
26 Correct 8 ms 5376 KB Output is correct
27 Correct 8 ms 5248 KB Output is correct
28 Correct 8 ms 5376 KB Output is correct
29 Correct 8 ms 5376 KB Output is correct
30 Correct 9 ms 5376 KB Output is correct
31 Correct 8 ms 5376 KB Output is correct
32 Correct 8 ms 5376 KB Output is correct
33 Correct 8 ms 5376 KB Output is correct
34 Correct 8 ms 5248 KB Output is correct
35 Correct 8 ms 5248 KB Output is correct
36 Correct 8 ms 5248 KB Output is correct
37 Correct 8 ms 5248 KB Output is correct
38 Correct 8 ms 5248 KB Output is correct
39 Correct 144 ms 26360 KB Output is correct
40 Correct 132 ms 26464 KB Output is correct
41 Correct 127 ms 26488 KB Output is correct
42 Correct 150 ms 27000 KB Output is correct
43 Correct 165 ms 40696 KB Output is correct
44 Correct 134 ms 34996 KB Output is correct
45 Correct 104 ms 22776 KB Output is correct
46 Correct 68 ms 31096 KB Output is correct
47 Correct 224 ms 39800 KB Output is correct
48 Correct 296 ms 69368 KB Output is correct
49 Correct 299 ms 67576 KB Output is correct
50 Correct 231 ms 39816 KB Output is correct
51 Correct 250 ms 39724 KB Output is correct
52 Correct 270 ms 39872 KB Output is correct
53 Correct 235 ms 32376 KB Output is correct
54 Correct 352 ms 64376 KB Output is correct
55 Correct 22 ms 8320 KB Output is correct
56 Correct 15 ms 6912 KB Output is correct
57 Correct 77 ms 25976 KB Output is correct
58 Correct 71 ms 24856 KB Output is correct
59 Correct 100 ms 37368 KB Output is correct
60 Correct 273 ms 68216 KB Output is correct
61 Correct 259 ms 43128 KB Output is correct
62 Correct 232 ms 39768 KB Output is correct
63 Correct 277 ms 39800 KB Output is correct
64 Correct 495 ms 88568 KB Output is correct
65 Correct 490 ms 89848 KB Output is correct
66 Correct 295 ms 63356 KB Output is correct
67 Correct 186 ms 44508 KB Output is correct
68 Correct 363 ms 59128 KB Output is correct
69 Correct 348 ms 59768 KB Output is correct
70 Correct 333 ms 56952 KB Output is correct